interpolation/Cubic/Rotation

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Interpolation/Cubic/Rotation

Summary

Function: rotation rCub( rotation a, rotation b, rotation c, rotation d, float t );

Spherical-Cubic interpolation between four rotations.
Returns a rotation

• rotation	a	–	Start
• rotation	b	–	End
• rotation	c	–	Affects path curve
• rotation	d	–	Affects path curve
• float	t

Specification

<source lang="lsl2">rotation rCub(rotation a, rotation b, rotation c, rotation d, float t){

   return rLin( rLin(a,b,t), rLin(c,d,t), 2*t*(1-t) );

} rotation rLin(rotation x, rotation y, float t) {

   float ang = llAngleBetween(x, y);
   if(ang > PI) ang -= TWO_PI;
   return x * llAxisAngle2Rot(llRot2Axis(y/x)*x, ang*t);

} // Released into public domain. By Nexii Malthus.</source>

Examples

<source lang="lsl2"></source>